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 Program Systems: 
Theory and Applications
 ISSN 2079-3316
12+ 
Bilingual electronic scientific Electronic scientific journal of the Ailamazyan Program System Institute of the Ailamazyan PSI of PSI of Russian Academy of Science of RAS
Volume 15 (2024) . Issue 4 (63) . Paper No. 2 (449)

Optimization Methods and Control Theory

Research Article
DOIDigital Object Identifier 10.25209/2079-3316-2024-15-4-27-41

One method of optimal control searching in a heterogeneous discrete systems with a delay in the state of processes

Irina Viktorovna Rasina1Correspondent author, Alexander Olegovich Blinov2

1Ailamazyan Program Systems Institute of RAS, Ves'kovo, Russia
2Russian State Social University, Moscow, Russia
1 Irina Viktorovna Rasina — Correspondent author irinarasina@gmail.com

Abstract. It is considered a class of non-homogeneous discrete systems (DNS) with intermediate criteria containing two levels. Lower-level systems include delayed state variables. Such DNS are presented in practice and are obtained in the process of discretization of continuous systems when solving optimization problems using iterative methods. For this class, an analogue of Krotov’s sufficient optimality conditions is proposed, on the basis of which a method for improving control is constructed. The proposed method is illustrated with an example. (In Russian).

Keywords: non-homogeneous discrete systems, delay in the state of processes, intermediate criteria, optimal control problem

MSC-20202020 Mathematics Subject Classification 49M25; 49K21, 49N99MSC-2020 49-XX: Calculus of variations and optimal control; optimization MSC-2020 49Mxx: Numerical methods in optimal control MSC-2020 49M25: Discrete approximations in optimal control MSC-2020 49Kxx: Optimality conditions MSC-2020 49K21: Optimality conditions for problems involving relations other than differential equations

For citation: Irina V. Rasina, Alexander O. Blinov. One method of optimal control searching in a heterogeneous discrete systems with a delay in the state of processes. Program Systems: Theory and Applications, 2024, 15:4, pp. 27–41. (In Russ.). https://psta.psiras.ru/2024/4_27-41.

Full text of article (PDF): https://psta.psiras.ru/read/psta2024_4_27-41.pdf.

The article was submitted 08.07.2024; approved after reviewing 22.10.2024; accepted for publication 02.11.2024; published online 08.11.2024.

© Rasina I. V., Blinov A. O.
2024
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